Overview

From the Preface: 'topics are: valuation theory; theory of polynomial and power series rings (including generalizations to graded rings and modules); local algebra...the algebro-geometric connections and applications of the purely algebraic material are constantly stressed and abundantly scattered throughout the exposition. Thus, this volume can be used in part as an introduction to some basic concepts and the arithmetic foundations of algebraic geometry.'

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9780387901718

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From the reviews: The Zariski-Samuel books on commutative algebra helped put the subject within reach of anyone interested on it. I like these books. Reading them is a pleasure. The leisurely style makes them appropriate for self-study, perhaps complementing the textbook being used. The cross-references in these volumes are handled with ease . Any mathematical library would be incomplete if these two volumes were not present. (Felipe Zaldivar, The Mathematical Association of America, January, 2011)

From the reviews: The Zariski-Samuel books on commutative algebra helped put the subject within reach of anyone interested on it. ... I like these books. Reading them is a pleasure. The leisurely style makes them appropriate for self-study, perhaps complementing the textbook being used. The cross-references in these volumes are handled with ease ... . Any mathematical library would be incomplete if these two volumes were not present. (Felipe Zaldivar, The Mathematical Association of America, January, 2011)

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